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Kink dynamics in a novel discrete sine-Gordon system. (1994)
Journal Article
Speight, J., & Ward, R. (1994). Kink dynamics in a novel discrete sine-Gordon system. Nonlinearity, 1(2), 475-484. https://doi.org/10.1088/0951-7715/7/2/009

A spatially-discrete sine-Gordon system with some novel features is described. There is a topological or Bogomol'nyi lower bound on the energy of a kink, and an explicit static kink which saturates this bound. There is no Peierls potential barrier, a... Read More about Kink dynamics in a novel discrete sine-Gordon system..

Stable topological Skyrmions on the 2D lattice. (1995)
Journal Article
Ward, R. (1995). Stable topological Skyrmions on the 2D lattice. Letters in Mathematical Physics, 35(4), 385-393. https://doi.org/10.1007/bf00750845

In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This Letter describes a lattice version, namely a natural way of modifying the 2D Heisenber... Read More about Stable topological Skyrmions on the 2D lattice..

Two integrable systems related to hyperbolic monopoles. (1999)
Journal Article
Ward, R. (1999). Two integrable systems related to hyperbolic monopoles. Asian Journal of Mathematics, 3(1), 325-332. https://doi.org/10.4310/ajm.1999.v3.n1.a12

Monopoles on hyperbolic 3-space were introduced by Atiyah in 1984. This article describes two integrable systems which are closely related to hyperbolic monopoles: a one-dimensional lattice equation (the Braam-Austin or discrete Nahm equation), and a... Read More about Two integrable systems related to hyperbolic monopoles..

Skyrmions from SU(3) Harmonic Maps and Their Quantization (2000)
Journal Article
Kopeliovich, V., Stern, B., & Zakrzewski, W. (2000). Skyrmions from SU(3) Harmonic Maps and Their Quantization. Physics Letters B, 492(1-2), 39-46. https://doi.org/10.1016/s0370-2693%2800%2901061-3

Static properties of SU(3) multiskyrmions with baryon numbers up to 6 are estimated. The calculations are based on the recently suggested generalization of the SU(2) rational map ansätze applied to the SU(3) model. Both SU(2) embedded skyrmions and g... Read More about Skyrmions from SU(3) Harmonic Maps and Their Quantization.

Translational Chern–Simons action and new planar particle dynamics. (2000)
Journal Article
Lukierski, J., Stichel, P., & Zakrzewski, W. (2000). Translational Chern–Simons action and new planar particle dynamics. Physics Letters B, 484(3-4), 315-322. https://doi.org/10.1016/s0370-2693%2800%2900637-7

We consider a nonstandard D=2+1 gravity described by a translational Chern–Simons action, and couple it to the nonrelativistic point particles. We fix the asymptotic coordinate transformations in such a way that the space part of the metric becomes a... Read More about Translational Chern–Simons action and new planar particle dynamics..

CP2 soliton scattering: the collective coordinate approximation (1998)
Journal Article
Burzlaff, J., & Zakrzewski, W. (1998). CP2 soliton scattering: the collective coordinate approximation. Nonlinearity, 11(5), 1311-1320. https://doi.org/10.1088/0951-7715/11/5/008

The CP2 model, with and without a generalized Hopf term, is studied using the collective coordinate approximation. In the spirit of this approximation, an ansatz is given for the head-on collision of two solitons. The equations of motion for the coll... Read More about CP2 soliton scattering: the collective coordinate approximation.

Can the Higgs be seen in rapidity gap events at the Tevatron or the LHC? (2000)
Journal Article
Khoze, V., Martin, A., & Ryskin, M. (2000). Can the Higgs be seen in rapidity gap events at the Tevatron or the LHC?. The European Physical Journal C, 14(3), 525-534. https://doi.org/10.1007/s100520000359

Double diffractive Higgs production at pp (or p¯p ) colliders continues to attract attention as a potential signal in the search for the boson. We present improved perturbative QCD estimates of the event rates for both the exclusive and inclusive dou... Read More about Can the Higgs be seen in rapidity gap events at the Tevatron or the LHC?.